In the present paper we consider the surfaces in the Euclidean 4-space E4 given with a Monge patch z = f(u, v),w = g(u, v) and study the curvature properties of these surfaces. We also give some special examples of these surfaces first defined by Yu. Aminov. Finally, we prove that every Aminov surface is a non-trivial Chen surface. © B. Bulca and K. Arslan, 2013.